ap-reach (Vertex Reachability)

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Description

Given a directed graph $G=(V,E)$, determine for each pair $s \neq t \in V$ whether $t$ is reachable from $s$.

Related Problems

Generalizations: st-Reach

Related: #SSR, sensitive incremental #SSR, ST-Reach, constant sensitivity incremental ST-Reach, 1-sensitive incremental ss-reach, 2-sensitive incremental st-reach

Parameters

$n$: number of vertices

$m$: number of edges

Table of Algorithms

Currently no algorithms in our database for the given problem.

Reductions FROM Problem

Problem Implication Year Citation Reduction
BMM assume: BMM
then: combinatorial algorithms cannot solve target with preprocessing time $O(n^{3-\epsilon})$, and update and query times $O(n^{2-\epsilon})$ for any $\epsilon > {0}$
2017 https://arxiv.org/pdf/1703.01638.pdf link